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arXiv · 2002.01760

Conic-line arrangements in the complex projective plane

Piotr Pokora·Tomasz Szemberg
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Abstract

The main goal of this note is to begin a systematic study on conic-line arrangements in the complex projective plane. We show a de Bruijn-Erdős-type inequality and Hirzebruch-type inequality for a certain class of conic-line arrangements having ordinary singularities. We will also study, in detail, certain conic-line arrangements in the context of the geography of log-surfaces and free divisors in the sense of Saito.

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Piotr Pokora, Tomasz Szemberg. 2022-02-10. Conic-line arrangements in the complex projective plane. https://doi.org/10.1007/s00454-022-00397-6

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